What is expand ((x+1)^2)/(e^x) ?

The solution to expand ((x+1)^2)/(e^x) is (x^2)/(e^x)+(2x)/(e^x)+1/(e^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x+1)^2)/(e^x)

expand

\frac{( x + 1 ) ^{2}}{e ^{x}}

\frac{x ^{2}}{e ^{x}} + \frac{2 x}{e ^{x}} + \frac{1}{e ^{x}}

Solution steps

\frac{( x + 1 ) ^{2}}{e ^{x}}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{x ^{2} + 2 x + 1}{e ^{x}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} + 2 x + 1}{e ^{x}} = \frac{x ^{2}}{e ^{x}} + \frac{2 x}{e ^{x}} + \frac{1}{e ^{x}}

= \frac{x ^{2}}{e ^{x}} + \frac{2 x}{e ^{x}} + \frac{1}{e ^{x}}

(u - 4)^{4} u

\frac{( a ^{2} - 2 x ^{2} )}{( x ^{2} + a ^{2} ) ^{\frac{5}{2}}}

\frac{2 sec ^{2} ( x )}{( tan ( x ) - 1 ) ^{2}}

\frac{- x ^{2} + 2 x - 5}{( x + 1 ) ( x ^{2} + 6 x + 9 )}

\frac{10 s - 15}{( 1 + s ) ( 2 s + 1 )}

What is expand ((x+1)^2)/(e^x) ?
The solution to expand ((x+1)^2)/(e^x) is (x^2)/(e^x)+(2x)/(e^x)+1/(e^x)